望大望小特性的模糊健壮设计研究

提出了模糊健壮设计中望大特性和望小特性的分位数型设计准则，并根据模糊健壮设计原理，建立了望大特性与望小特性的模糊健壮设计优化模型。为了提高求解该模型的效率和灵活性，采用基于最大可能点的分位数求解算法代替随机模拟法来计算质量特性的分位数，并将它和常规优化算法相结合构成了该模型的求解框架。通过太阳能灌溉系统的设计实例表明，该方法可以有效地处理健壮设计问题中的模糊信息，不仅能事先根据设计者的意愿来灵活地调整设计方案的优质率和可行性，而且采用基于最大可能点的分位数求解算法使得在迭代点处的平均运算次数比传统模糊健壮设计方法减少了90％以上，从而提高了模糊健壮设计问题的求解效率。

Study of Fuzzy Robust Design with a Larger-the-Better or Smaller-the-Better Characteristic

The rules in percentile formulation for fuzzy robust design are proposed when the product quality possesses a larger-the-better or smaller-the-better characteristic. Based on the proposed rules, the optimal model of fuzzy robust design with the above mentioned characteristic is presented. And the percentile search algorithm with most probable point is adopted to evaluate the percentile of the product characteristic instead of random simulation based methods, which is combined with the general optimal algorithm to develop a framework for solving the presented model and improving the efficiency and flexibility. A practical case for a solar powered irrigation system indicates that the proposed approach enables to deal with the fuzzy robust design problems where the high-quality probability and feasibility of design solutions can be adjusted flexibly according to the designer's preference. Compared with the traditional fuzzy robust design methods, the average number of function evaluations at each iterative point is reduced by a factor of ten to greatly improve the efficiency for solving fuzzy robust design problems.